New Approach on the General Shape Equation of Axisymmetric Vesicles

Details New Approach on the General Shape Equation of Axisymmetric Vesicles New Approach on the General Shape Equation of Axisymmetric Vesicles

1999-01-10

arxiv.org/abs/cond-mat/9901075v1

Mod. Phys. Lett. B Vol. 13, No.1 (1999) 13-18

Physics

Condensed Matter

Soft Condensed Matter

8 pages, LaTex, submit to Mod. Phys. Lett. B

Scientific paper

10.1142/S0217984999000038

The general Helfrich shape equation determined by minimizing the curvature free energy describes the equilibrium shapes of the axisymmetric lipid bilayer vesicles in different conditions. It is a non-linear differential equation with variable coefficients. In this letter, by analyzing the unique property of the solution, we change this shape equation into a system of the two differential equations. One of them is a linear differential equation. This equation system contains all of the known rigorous solutions of the general shape equation. And the more general constraint conditions are found for the solution of the general shape equation.

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